Finite Group Databasebeta

← #25140817

Subgroups — #25140817

Order 11008.

904 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19144571C211yesmaximal, characteristic, complemented
2#19143899C211yesmaximal, characteristic
3#19143468C211yesmaximal, characteristic, complemented
4#19136121C211yesmaximal, characteristic, complemented
5#19136038C211yesmaximal, characteristic, complemented
6#19135888C211yesmaximal, characteristic, complemented
7#19135817C211yesmaximal, characteristic, complemented
8#19135260C211yesmaximal, characteristic, complemented
9#19135245C211yesmaximal, characteristic, complemented
10#19134968C211yesmaximal, characteristic, complemented
11#19134922C211yesmaximal, characteristic, complemented
12#19134821C211yesmaximal, characteristic, complemented
13#19134659C211yesmaximal, characteristic, complemented
14#19134549C211yesmaximal, characteristic, complemented
15C43×#2897C211yesmaximal, characteristic, complemented
16C2×#13063351C2211yescharacteristic
17C2×#13063345C2211yescharacteristic
18#14583477C2211yescharacteristic
19#14583379C2211yescharacteristic, complemented
20#14583239—21no—
21#14583233—21no—
22#14583221—21no—
23#14583211—21no—
24#14583061—21no—
25#14583050—21no—
26#14583044—21no—
27#14583033—21no—
28#14582999—21no—
29#14582997—21no—
30C4×#10621885—21no—
31C4×#10621882—21no—
32C2×#13063261C2211yescharacteristic, complemented
33#14582942C2211yescharacteristic, complemented
34C2×#13063259C2211yescharacteristic, complemented
35C2×#13063258C2211yescharacteristic, complemented
36C2×#13063252C2211yescharacteristic
37C2×#13063252C2211yescharacteristic
38C2×#13063251C2211yescharacteristic, complemented
39#14582900C2211yescharacteristic
40#14582900C2211yescharacteristic
41#14582900C2211yescharacteristic
42#14582898C2211yescharacteristic, complemented
43C2×#13063246C2211yescharacteristic
44C2×#13063242C2211yescharacteristic
45#14582866C2211yescharacteristic
46#14582865C2211yescharacteristic, complemented
47#14582855C2211yescharacteristic, complemented
48#14582802C2211yescharacteristic
49#14582768C2211yescharacteristic, complemented
50#14582668C2211yescharacteristic, complemented
51#14582667C2211yescharacteristic, complemented
52#14582667C2211yescharacteristic, complemented
53#14582663C2211yescharacteristic, complemented
54#14582658C2211yescharacteristic, complemented
55#14582653C2211yescharacteristic, complemented
56C2×H(5,𝔽2)×C43C2211yescharacteristic
57C2×#131×C43C2211yescharacteristic
58C43×#520C2211yescharacteristic
59C43×#418—21no—
60C43×#418C2211yescharacteristic
61C43×#417—21no—
62C43×#417C2211yescharacteristic
63C43×#416—21no—
64C43×#416C2211yescharacteristic
65C2×#102×C43—21no—
66C2×#102×C43C2211yescharacteristic
67C2×#10621898C2311yescharacteristic
68#13063351—22no—
69#13063351—41no—
70#13063345—22no—
71#13063345—22no—
72C2×#10621885D411yescharacteristic
73C2×#10621883—21no—
74C2×#10621883D411yescharacteristic
75C2×#10621884D411yescharacteristic
76C2×#10621882—21no—
77C2×#10621882D411yescharacteristic
78C2×#10621877C2311yescharacteristic
79C2×#10621877C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C22×C43⋊C8C2311yescharacteristic
82#13063304—21no—
83#13063301—21no—
84#13063299—21no—
85#13063297—41no—
86#13063296—21no—
87C4×Dic86—21no—
88C4×D172—21no—
89(C22⋊D43)⋊C4—41no—
90#13063283—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×Dic43⋊C4—41no—
94C4⋊C4×D43—21no—
95C2×C22⋊Dic43—41no—
96C2×C4×Dic43C2311yescharacteristic
97#13063261—41no—
98#13063259—21no—
99#13063259—21no—
100#13063258—21no—
101#13063258—21no—
102#13063258—21no—
103#13063256—21no—
104#13063252—22no—
105#13063252—41no—
106#13063251—41no—
107#13063249—21no—
108#13063249—21no—
109#13063249—21no—
110#13063248—21no—
111#13063246—21no—
112#13063246—21no—
113#13063246—21no—
114#13063246—21no—
115#13063246—21no—
116#13063245—21no—
117#13063242—22no—
118C22⋊(C43⋊C8)—21no—
119C22⋊(C43⋊C8)—21no—
120(C2×D43)⋊C8—21no—
121(C2×D43)⋊C8—21no—
122#13063236—21no—
123C4×C43⋊C8—21no—
124H(5,𝔽2)×C43—22no—
125H(5,𝔽2)×C43—22no—
126H(5,𝔽2)×C43—22no—
127H(5,𝔽2)×C43—41no—
128C2×#41×C43—21no—
129C2×#41×C43—21no—
130C2×#41×C43C2311yescharacteristic
131C2×#41×C43C2311yescharacteristic
132C22×D4×C43—21no—
133C22×D4×C43—21no—
134C22×D4×C43—41no—
135C22×D4×C43C2311yescharacteristic
136#131×C43—22no—
137#131×C43—41no—
138C2×M16×C43—21no—
139C2×M16×C43C2311yescharacteristic
140C22×C8×C43—21no—
141C22×C8×C43C2311yescharacteristic
142C4×Q8×C43—21no—
143C4×D4×C43—21no—
144C4×D4×C43—41no—
145#117×C43—21no—
146#117×C43C2311yescharacteristic
147C2×C4⋊C4×C43—21no—
148C2×C4⋊C4×C43C2311yescharacteristic
149#103×C43—21no—
150#103×C43D411yescharacteristic
151#103×C43D411yescharacteristic
152#102×C43—21no—
153#102×C43—21no—
154#102×C43—21no—
155#102×C43—21no—
156#102×C43—21no—
157#102×C43D411yescharacteristic
158#102×C43D411yescharacteristic
159C24×C43—21no—
160C24×C43—41no—
161#41×C43—21no—
162#41×C43—21no—
163#41×C43—24no—
164#41×C43—21no—
165#41×C43—21no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43—42no—
169#41×C43—42no—
170#41×C43—42no—
171#41×C43#4112yes—
172#41×C43#4112yes—
173C2×Q8×C43C2×D411yescharacteristic
174C2×Q8×C43C2×D411yescharacteristic
175C2×D4×C43—21no—
176C2×D4×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—24no—
179C2×D4×C43—21no—
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—21no—
183C2×D4×C43—41no—
184C2×D4×C43—41no—
185C2×D4×C43—44no—
186C2×D4×C43—42no—
187C2×D4×C43—42no—
188C2×D4×C43—44no—
189C2×D4×C43—42no—
190C2×D4×C43C2×D411yescharacteristic
191C2×D4×C43C2×D411yescharacteristic
192C2×D4×C43#4112yes—
193C22×C4×C43—21no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—41no—
197C22×C4×C43—41no—
198C22×C4×C43C2411yescharacteristic
199C2×C22⋊D43—21no—
200C2×C22⋊D43—41no—
201C22×Dic43—21no—
202C22×Dic43—21no—
203C22×Dic43—21no—
204#10621898—21no—
205#10621898—21no—
206#10621898—21no—
207#10621898—21no—
208C2×D172C2×D411yescharacteristic
209C2×C4×D43—21no—
210C2×C4×D43—41no—
211C2×Dic86C2×D411yescharacteristic
212M16×C43—21no—
213M16×C43—21no—
214M16×C43—42no—
215C2×C8×C43—21no—
216C2×C8×C43—21no—
217C2×C8×C43—21no—
218C2×C8×C43—42no—
219C2×C8×C43C2×D411yescharacteristic
220C2×C8×C43C2×D411yescharacteristic
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—41no—
224C4⋊C4×C43C2×D411yescharacteristic
225C4⋊C4×C43C2×D411yescharacteristic
226C22⋊C4×C43—21no—
227C22⋊C4×C43—41no—
228C42×C43—21no—
229C42×C43—41no—
230C22⋊Dic43—41no—
231C22⋊Dic43—82no—
232#10621885—22no—
233#10621884—22no—
234#10621883—22no—
235#10621883—42no—
236#10621882—22no—
237#10621882—42no—
238(C2×D43)⋊C4—41no—
239(C2×D43)⋊C4—41no—
240C4⋊Dic43—21no—
241C4⋊Dic43—21no—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244Dic43⋊C4—41no—
245Dic43⋊C4—41no—
246Dic43⋊C4—82no—
247C4×Dic43—21no—
248C4×Dic43—21no—
249C4×Dic43—41no—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—21no—
254#10621877—21no—
255#10621877—21no—
256C2×C43⋊C8—21no—
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8C2×D411yescharacteristic
262C2×C43⋊C8C2×D411yescharacteristic
263C23×C43—21no—
264C23×C43—21no—
265C23×C43—22no—
266C23×C43—44no—
267C23×C43—41no—
268C23×C43—41no—
269C23×C43—81no—
270C23×C43—81no—
271C23×C43—161no—
272C23×C43—161no—
273C23×C43H(5,𝔽2)11yescharacteristic
274C22×D43—21no—
275Q8×C43—21no—
276Q8×C43—21no—
277Q8×C43—21no—
278Q8×C43#12312yes—
279D4×C43—22no—
280D4×C43—22no—
281D4×C43—21no—
282D4×C43—22no—
283D4×C43—21no—
284D4×C43—22no—
285D4×C43—21no—
286D4×C43—44no—
287D4×C43—44no—
288D4×C43—41no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—41no—
292D4×C43#12312yes—
293C2×C4×C43—21no—
294C2×C4×C43—22no—
295C2×C4×C43—22no—
296C2×C4×C43—21no—
297C2×C4×C43—21no—
298C2×C4×C43—21no—
299C2×C4×C43—44no—
300C2×C4×C43—41no—
301C2×C4×C43—41no—
302C2×C4×C43—41no—
303C2×C4×C43—81no—
304C2×C4×C43—161no—
305C2×C4×C43C22×D411yescharacteristic
306C2×C4×C43C22×D411yescharacteristic
307C2×C4×C43C2×#4111yescharacteristic
308C2×C4×C43C2×#4111yescharacteristic
309C2×C4×C43C2×#4111yescharacteristic
310C2×C4×C43H(5,𝔽2)11yescharacteristic
311C22⋊D43—41no—
312C22⋊D43—41no—
313C22⋊D43—161no—
314C2×Dic43—22no—
315C2×Dic43—21no—
316C2×Dic43—41no—
317C2×Dic43—41no—
318C2×Dic43—41no—
319C2×Dic43—41no—
320C2×Dic43—81no—
321C2×Dic43—81no—
322D172—21no—
323D172—21no—
324C4×D43—41no—
325C4×D43—41no—
326C4×D43—161no—
327Dic86—21no—
328Dic86—21no—
329C8×C43—21no—
330C8×C43—21no—
331C8×C43—41no—
332C43⋊C8—21no—
333C43⋊C8—21no—
334C43⋊C8—41no—
335C43⋊C8—41no—
336C43⋊C8—41no—
337#24925—431nomaximal, Sylow
338C22×C43—21no—
339C22×C43—21no—
340C22×C43—22no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43—42no—
345C22×C43—41no—
346C22×C43—41no—
347C22×C43—82no—
348C22×C43—81no—
349C22×C43—81no—
350C22×C43—161no—
351C22×C43—164no—
352C22×C43#53811yescharacteristic
353C22×C43D4211yescharacteristic
354C22×C43#55111yescharacteristic
355C2×D43—41no—
356C2×D43—41no—
357C2×D43—41no—
358C4×C43—22no—
359C4×C43—41no—
360C4×C43—41no—
361C4×C43—41no—
362C4×C43—81no—
363C4×C43C2×#12311yescharacteristic
364C4×C43#52511yescharacteristic
365C4×C43#54611yescharacteristic
366C4×C43#54611yescharacteristic
367Dic43—42no—
368Dic43—41no—
369Dic43—81no—
370Dic43—81no—
371#3098—431no—
372#3012—431no—
373#2951—431no—
374#2897D4311yescharacteristic, complemented
375#2093—431no—
376#2078—431no—
377#2051—431no—
378#2039—431no—
379#1931—431no—
380#1929—431no—
381#1883—431no—
382#1876—431no—
383#1859—431no—
384#1816—431no—
385#1792—431no—
386C2×C43—21no—
387C2×C43—21no—
388C2×C43—42no—
389C2×C43—81no—
390C2×C43—82no—
391C2×C43#241811yescharacteristic
392C2×C43#328911yescharacteristic
393C2×C43#329211yescharacteristic
394D43—81no—
395C2×H(5,𝔽2)C2×D4311yescharacteristic
396C2×AGL(1,ℤ/8)—431no—
397C2×#135—431no—
398C2×#131C2×D4311yescharacteristic
399#537—431no—
400#520—431no—
401#520C2×D4311yescharacteristic
402#485—861no—
403#484—861no—
404#482—861no—
405#480—861no—
406#452—861no—
407#450—861no—
408#449—861no—
409#447—861no—
410#440—861no—
411#440—861no—
412C4×Q16—861no—
413C4×D8—861no—
414C2×#108—431no—
415#428—431no—
416C2×#107—431no—
417C2×#107—431no—
418C2×#104—431no—
419C2×#104—431no—
420C2×#104—431no—
421#418—21no—
422#418C2×D4311yescharacteristic
423#417—21no—
424#417—431no—
425#417—431no—
426#417—431no—
427#417—431no—
428#417C2×D4311yescharacteristic
429#416—21no—
430#416C2×D4311yescharacteristic
431C2×#102—21no—
432C2×#102—431no—
433C2×#102C2×D4311yescharacteristic
434C2×#100—431no—
435#408—431no—
436#408—431no—
437#405—431no—
438#390—431no—
439#384—431no—
440#343—431no—
441#343—431no—
442#343—431no—
443#341—431no—
444#339—431no—
445#336—431no—
446C43#2492511yescharacteristic, complemented, Sylow
447H(5,𝔽2)—22no—
448H(5,𝔽2)—22no—
449H(5,𝔽2)—22no—
450H(5,𝔽2)—41no—
451C2×#41—21no—
452C2×#41—21no—
453C2×#41—431no—
454C2×#41C22×D4311yescharacteristic
455C2×#41C22×D4311yescharacteristic
456C22×D4—21no—
457C22×D4—21no—
458C22×D4—41no—
459C22×D4C22×D4311yescharacteristic
460AGL(1,ℤ/8)—862no—
461AGL(1,ℤ/8)—1721no—
462#135—862no—
463#135—862no—
464C2×Q16—431no—
465C2×SD16—431no—
466C2×SD16—431no—
467C2×SD16—861no—
468C2×D8—431no—
469C2×D8—861no—
470#131—22no—
471#131—41no—
472C2×M16—21no—
473C2×M16—431no—
474C2×M16—431no—
475C2×M16—431no—
476C2×M16C22×D4311yescharacteristic
477C22×C8—21no—
478C22×C8—431no—
479C22×C8C22×D4311yescharacteristic
480C22⋊Q8—861no—
481C22⋊Q8—861no—
482#121—861no—
483#121—861no—
484#121—1721no—
485C4×Q8—21no—
486C4×Q8—861no—
487C4×D4—21no—
488C4×D4—41no—
489C4×D4—861no—
490C4×D4—1721no—
491#117—21no—
492#117—861no—
493#117C22×D4311yescharacteristic
494C2×C4⋊C4—21no—
495C2×C4⋊C4—431no—
496C2×C4⋊C4—431no—
497C2×C4⋊C4—861no—
498C2×C4⋊C4—1721no—
499C2×C4⋊C4C22×D4311yescharacteristic
500C2×C22⋊C4—1721no—
501C2×C42—431no—
502#108—1721no—
503#107—861no—
504#107—861no—
505#107—861no—
506#107—861no—
507#107—861no—
508#106—861no—
509#104—862no—
510#104—1721no—
511#104—1721no—
512#103—21no—
513#103—861no—
514#103—861no—
515#103—861no—
516#103—861no—
517#103C22⋊D4311yescharacteristic
518#103C22⋊D4311yescharacteristic
519#102—21no—
520#102—21no—
521#102—21no—
522#102—21no—
523#102—21no—
524#102—861no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102C22⋊D4311yescharacteristic
531#102C22⋊D4311yescharacteristic
532#100—862no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536C22⋊C8—861no—
537#97—861no—
538C4×C8—861no—
539C24—21no—
540C24—41no—
541#41—21no—
542#41—21no—
543#41—24no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—42no—
549#41—42no—
550#41—42no—
551#41—861no—
552#41—861no—
553#41—861no—
554#41—861no—
555#41#1062189812yes—
556#41#1062190012yes—
557C2×Q8—431no—
558C2×Q8D4×D4311yescharacteristic
559C2×Q8C2×C22⋊D4311yescharacteristic
560C2×D4—21no—
561C2×D4—24no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—42no—
569C2×D4—41no—
570C2×D4—41no—
571C2×D4—42no—
572C2×D4—44no—
573C2×D4—44no—
574C2×D4—42no—
575C2×D4—431no—
576C2×D4—861no—
577C2×D4—1721no—
578C2×D4#1062189812yes—
579C2×D4D4×D4311yescharacteristic
580C2×D4C2×C22⋊D4311yescharacteristic
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—861no—
587C22×C4—861no—
588C22×C4—861no—
589C22×C4—861no—
590C22×C4—1721no—
591C22×C4C23×D4311yescharacteristic
592Q16—862no—
593SD16—862no—
594SD16—862no—
595SD16—1722no—
596D8—862no—
597D8—1722no—
598M16—21no—
599M16—21no—
600M16—42no—
601M16—861no—
602M16—861no—
603M16—861no—
604M16—861no—
605M16—861no—
606M16—861no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—42no—
611C2×C8—431no—
612C2×C8—431no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—861no—
616C2×C8—861no—
617C2×C8—861no—
618C2×C8C2×C22⋊D4311yescharacteristic
619C2×C8C2×C22⋊D4311yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—861no—
624C4⋊C4—861no—
625C4⋊C4—861no—
626C4⋊C4—861no—
627C4⋊C4—3442no—
628C4⋊C4—1721no—
629C4⋊C4—1721no—
630C4⋊C4C2×C22⋊D4311yescharacteristic
631C4⋊C4C2×C22⋊D4311yescharacteristic
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—3442no—
635C22⋊C4—1721no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C42—21no—
639C42—41no—
640C42—861no—
641C42—861no—
642C42—1721no—
643C23—21no—
644C23—21no—
645C23—22no—
646C23—44no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—161no—
652C23—161no—
653C23—861no—
654C23#1306337011yescharacteristic
655Q8—21no—
656Q8—21no—
657Q8—21no—
658Q8—861no—
659Q8—861no—
660Q8#1306330712yes—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—21no—
665D4—21no—
666D4—22no—
667D4—21no—
668D4—44no—
669D4—44no—
670D4—41no—
671D4—41no—
672D4—41no—
673D4—41no—
674D4—861no—
675D4—861no—
676D4—1721no—
677D4—1721no—
678D4—6881no—
679D4#1306330712yes—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—161no—
692C2×C4—862no—
693C2×C4—861no—
694C2×C4—3441no—
695C2×C4—3441no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—1721no—
699C2×C4—1721no—
700C2×C4—1721no—
701C2×C4—1721no—
702C2×C4—6881no—
703C2×C4C2×D4×D4311yescharacteristic
704C2×C4C22×C22⋊D4311yescharacteristic
705C2×C4C2×#1062190011yescharacteristic
706C2×C4C2×#1062189811yescharacteristic
707C2×C4C2×#1062189811yescharacteristic
708C2×C4#1306337011yescharacteristic
709C8—21no—
710C8—21no—
711C8—41no—
712C8—861no—
713C8—861no—
714C8—1721no—
715C8—1721no—
716C8—1721no—
717C22—21no—
718C22—21no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—42no—
724C22—41no—
725C22—41no—
726C22—82no—
727C22—81no—
728C22—81no—
729C22—161no—
730C22—164no—
731C22—1721no—
732C22—1721no—
733C22—1721no—
734C22#1458348711yescharacteristic
735C22D4×C22⋊D4311yescharacteristic
736C22#1458357511yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—81no—
742C4—3441no—
743C4—3441no—
744C4—1722no—
745C4—1721no—
746C4C2×#1306330711yescharacteristic
747C4#1458341011yescharacteristic
748C4#1458353911yescharacteristic
749C4#1458354311yescharacteristic
750C2—21no—
751C2—21no—
752C2—42no—
753C2—81no—
754C2—82no—
755C2—3441no—
756C2#1913805711yescharacteristic
757C2#1914636811yescharacteristic
758C2#1914639211yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2897C2
socleC22×C43D42
prime radical#19143899C2
hypercenter#2897D43
hypocenterC43#24925
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19144571C2semidirect
3. #19143468C2semidirect
4. #19136121C2semidirect
5. #19136038C2semidirect
6. #19135888C2semidirect
7. #19135817C2semidirect
8. #19135260C2semidirect
9. #19135245C2semidirect
10. #19134968C2semidirect
11. #19134922C2semidirect
12. #19134821C2semidirect
13. #19134659C2semidirect
14. #19134549C2semidirect
15. C43×#2897C2semidirect
19. #14583379C22semidirect
32. C2×#13063261C22semidirect
33. #14582942C22semidirect
34. C2×#13063259C22semidirect
35. C2×#13063258C22semidirect
38. C2×#13063251C22semidirect
42. #14582898C22semidirect
46. #14582865C22semidirect
47. #14582855C22semidirect
49. #14582768C22semidirect
50. #14582668C22semidirect
51. #14582667C22semidirect
52. #14582667C22semidirect
53. #14582663C22semidirect
54. #14582658C22semidirect
55. #14582653C22semidirect
374. #2897D43semidirect
446. C43#24925semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191445712
#191438992
#191434682
#191361212
#191360382
#191358882
#191358172
#191352602
#191352452
#191349682
#191349222
#191348212
#191346592
#191345492
C43×#28972
#2492543